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SUMMARY:Sven Möller (RIMS Kyoto)
DTSTART:20210713T080000Z
DTEND:20210713T083000Z
DTSTAMP:20260423T010857Z
UID:JENTE/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/43/">V
 ector-valued Eisenstein series and classification of holomorphic vertex op
 erator algebras</a>\nby Sven Möller (RIMS Kyoto) as part of Japan Europe 
 Number Theory Exchange Seminar\n\n\nAbstract\nVertex operator algebras (VO
 As) axiomatise 2-dim. conformal field theoories in physics and are at the 
 centre of remarkable conections\nbetween representation and number theory 
 (e.g. Monstrous Moonshine).\n\nIndeed\, through their characters/graded di
 mensions\, VOAs are intimately connected with various types of modular for
 ms.\n\nIn this work we study identities for holomorphic VOAs of central ch
 arge 24 based on a pairing argument with vector-valued Eisenstein series o
 f\nweight 2. The thus obtained dimension formulae are then used to prove a
  classification result for these VOAs\, which had been open for thirty yea
 rs.\n
LOCATION:https://researchseminars.org/talk/JENTE/43/
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